4113936000 has 512 divisors, whose sum is σ = 15466464000. Its totient is φ = 1074585600.

The previous prime is 4113935977. The next prime is 4113936007. The reversal of 4113936000 is 6393114.

4113936000 is a `hidden beast` number, since 41 + 13 + 9 + 3 + 600 + 0 = 666.

4113936000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4113936007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38447947 + ... + 38448053.

Almost surely, 2^4113936000 is an apocalyptic number.

4113936000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4113936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7733232000).

4113936000 is an abundant number, since it is smaller than the sum of its proper divisors (11352528000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4113936000 is a wasteful number, since it uses less digits than its factorization.

4113936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 4113936000 is about 64139.9719363830. The cubic root of 4113936000 is about 1602.3320160785.

The spelling of 4113936000 in words is "four billion, one hundred thirteen million, nine hundred thirty-six thousand".